Question

"Write 1/100 using a negative exponent other than -1. Answer: 10^-2." Why is 10^-2 the answer?

Answer 1

Explanation:

`(1)/(100) = \frac{1}{ {10}^(2) } = {10}^( - 2) \\ \\ reason \\ \: \because \: \frac{1}{ {a}^(2) } = {a}^( - 2) \\ \\ \implies \: \frac{1}{ {10}^(2) } = {10}^( - 2)`